Testbook Logo
Exams SuperCoaching Test Series Skill Academy
More
English
Hindi

Question

Download Solution PDF

The displacement-time graphs of two moving particles make angles of 30° and 45° with the x-axis as shown in the figure. The ratio of their respective velocity is:

F1 Savita Others 8-8-22 D2

  1. \(1 : \sqrt{3}\)
  2. \(\sqrt{3} : 1\)
  3. 1 ∶ 1
  4. 1 ∶ 2

Answer (Detailed Solution Below)

Option 1 : \(1 : \sqrt{3}\)
Free Tests
View all Free tests >
Free
CT 1: Botany (Cell:The Unit of Life)
31.2 K Users
25 Questions 100 Marks 20 Mins
Start Now

Detailed Solution

Download Solution PDF

Concept:

Displacement- time graph is used to express the displacement of a body with respect to time. The slope of Displacement- time graph is equal to velocity.

Slope = tan θ  = Velocity

Calculation:

F1 Savita Others 8-8-22 D2

Angle made by first body, θ1 = 300

Velocity of first body, v1 = tanθ1 = tan 30o = 1/√3 

Angle made by second body, θ2 = 450

 Velocity of second body, v2 = tanθ2 = tan45o = 1

Ratio of Velocity = \(\frac{v_1}{v_2}=\frac{1}{√3}\) = 1 : √3 

Hence, option (1) is the correct answer.

Download Solution PDF
Latest NEET Updates

Last updated on Jun 16, 2025

-> NTA has released the NEET Scorecard 2025 on the official website.

-> NEET Toppers List 2025 is now available. Candidates can check the names, scores, and all India ranks of the highest scorers.

-> NEET final answer key 2025 has been made available on June 14, 2025 on the official website for the students to check.

->NEET 2025 exam is over on May 4, 2025.

-> The NEET 2025 Question Papers PDF are now available.

-> NTA has changed the NEET UG Exam Pattern of the NEET UG 2025. Now, there will be no Section B in the examination.

-> Candidates preparing for the NEET Exam, can opt for the latest NEET Mock Test 2025. 

-> NEET aspirants can check the NEET Previous Year Papers for their efficient preparation. and Check NEET Cut Off here.

More Position and Displacement Questions

Q1.A person moved from A to B on a circular path as shown in figure. If the distance travelled by him is 60 m, then the magnitude of displacement would be (Given cos135°= –0.7)
Q2.The ratio of displacement to distance is always:
Q3.An object travels from point A to point B as shown in the figure. The distance and the magnitude of displacement for the motion are respectively
Q4.The displacement-time graphs of two moving particles make angles of 30° and 45° with the x-axis as shown in the figure. The ratio of their respective velocity is:
Q5.A toy car with charge q moves on a frictionless horizontal plane surface under the influence of a uniform electric field \(\vec{\text{E}}\). Due to the force q \(\vec{\text{E}}\), its velocity increases from 0 to 6 m/s in one second duration. At that instant the direction of the field is reversed. The car continues to move for two more seconds under the influence of this field. The average velocity and the average speed of the toy car between 0 to 3 seconds are respectively
Q6.In displacement-time graph (x-t), the slope of chord in x-t graph in an interval of time represents
Q7.The ratio of magnitude of distance and displacement made by a car which drives from one end to another across circumference of semi circular path of diameter 50 m. 
Q8.The physical quantity that is denoted by area under velocity time graph is ________
Q9.A boy moves 4 m to the east then he turned left and moves 12 m, after that he climbs a pole to a height of 3 m. Find the displacement of the boy.
Q10.A boy runs from one end to other end of a semicircular track with radius 140 m. His displacement is:

More Motion in Two and Three Dimensions Questions

Q1.A particle is projected with velocity v0 along x-axis. A damping force is acting on the particle which is proportional to the square of the distance from the origin i.e. ma = -αx2. The distance at which the particle stops:
Q2.A person moved from A to B on a circular path as shown in figure. If the distance travelled by him is 60 m, then the magnitude of displacement would be (Given cos135°= –0.7)
Q3.The co-ordinates of a particle moving in x-y plane are given by : x = 2 + 4t, y= 3t + 8t2. The motion of the particle is :
Q4.In uniform circular motion the following quantities remain constant-
Q5.The ratio of displacement to distance is always:
Q6.A bus increases its speed from 36km/h to 72km/h in 10 seconds. Its acceleration is.
Q7.The path of a projectile is :
Q8.For a maximum horizontal range of a projectile, the angle of projection should be 
Q9.A particle is moving in a circle of radius R with a constant speed v. Its average acceleration over the time when it moves over half the circle is :
Q10.Which force is required to maintain a body in Uniform circular Motion?
Suggested Exams
Exam-Logo
NEET

NEET Important Links

More Physics Questions

Q1. A bar magnet has total length 2l = 20 units and the field point P is at a distance d = 10 units from the centre of the magnet. If the relative uncertainty of length measurement is 1%, then uncertainty of the magnetic field at point P is : 
Q2.A bi-convex lens is constructed using two thin plano-convex lenses, as shown in the figure. The refractive index of the first lens is 1.5, and that of the second lens is 1.2. Both curved surfaces have the same radius of curvature, R = 14 cm. For this bi-convex lens, when the object distance is 40 cm, determine the image distance:
Q3.In a closed system of two interacting particles, m1 and m2, the center of mass is stationary. Given the trajectory of m1 and that m2 = m1, determine the trajectory of m2.
Q4.Match the following entries in column-I and column-II with respect to an oscillating spring-block system: Column-I Column-II (a) Mass of the block is doubled (i) Energy of oscillation becomes 4 times (b) Spring constant is made 4 times (ii) Speed of block becomes 2 times (c) Amplitude of oscillations is doubled (iii) P.E. becomes 4 times (d) Angular frequency is doubled (iv) Time period becomes √2 times (e) length of spring is quadrupled (v) Time period becomes 2 times
Q5.Consider the process of one mole of monatomic ideal gas shown in the T-V diagram. The correct match is based on the following equations and principles: Column - 1 Column - 2 (I) Work done in the isothermal process (1 → 2) (i) (RT0 / 3) ln 2 (II) Change in internal energy (1 → 2 → 3) (ii)RT0 (III) Total heat absorbed (1 → 2 → 3) (iii)  (RT0 / 3) [3 + ln 2] (IV) Heat absorbed in the isothermal process (1 → 2) (iv)  (RT0 / 5) ln 2 (V) Work done in the process (1 → 2→ 3) (v) RT0 /2  
Q6.For the LCR AC circuit (resonance frequency ωo) shown in the figure below, choose the correct statement(s). List 1 List 2 (i) ω0 a) depends on L,C (ii) At ω =ω0 , VR is   b) independent of L, C (iii) VR and I are  c) In phase (iv)  At ω =ω0 /2, VR is   d) Out of phase  
Q7.Match the Following: Match the entries from Column-1 with their corresponding descriptions in Column-2 and numerical values in Column-3. Column - 1 Column - 2 Column - 3 (I) Planck’s radiation law (i) Peak wavelength shifts inversely with temperature (P) 0.5 (II) Stefan-Boltzmann law (ii) Energy radiated is proportional to the fourth power of temperature (Q) 0.25 (III) Kirchhoff’s Law of Radiation (iii) Absorptivity equals emissivity in thermal equilibrium (R) 0.3 (IV) Newton’s Cooling Law (iv) Rate of cooling is proportional to the temperature difference (S) 0.4   A surface reflects 70% of the incident energy. Determine the most appropriate match for its emissivity.  
Q8.A ball of 8 kg, moving at 15 m/s, enters a 22 kg spring gun at rest. If the surfaces are frictionless and the spring is massless, determine the gun's speed after the ball stops moving relative to the gun.
Q9.A square frame is constructed from four uniform rods. The rods, AB, BC, CD, and DA, have masses 2m, 3m, 4m, and 5m respectively, and each has a length of 2a.  Where is the center of mass of this frame located in the x-y plane, specifically, which quadrant or region defined by x and y coordinates.
Q10.Imagine you have a cup of Starbucks coffee in a moving car. If the car suddenly brakes
Exams
Board Exams
Syllabus
Test Series
Previous Year Papers
Cut Off
Eligibility
Important Exams
Testbook USA SAT Exam
Testbook USA ACT Exam
US College Admissions Guide
Testbook Edu Solutions Pvt. Ltd.
1st & 2nd Floor, Zion Building,
Plot No. 273, Sector 10, Kharghar,
Navi Mumbai - 410210
[email protected]
Toll Free:1800 833 0800
Office Hours: 10 AM to 7 PM (all 7 days)
Company
About usCareers We are hiringTeach Online on TestbookPartnersMediaSitemap
Products
Test SeriesTestbook PassOnline CoursesOnline VideosPracticeBlogRefer & EarnBooks
Our Apps
Follow us on
Copyright © 2014-2022 Testbook Edu Solutions Pvt. Ltd.: All rights reserved
User PolicyTermsPrivacy
Get Free Access Now
Hot Links： online teen patti real money teen patti wink teen patti master apk download